Fill in the blank to write a one variable, one-step equation for the following information: Matthew has twice as many quarters as dimes. Matthew has 20 dimes.(1 point)

Question

[_? _] q=20

Answer 1

To write the one-variable, one-step equation based on the information provided:

Let \( q \) represent the number of quarters.

Since Matthew has twice as many quarters as dimes, and we know he has 20 dimes, we can express the relationship as:

\( q = 2 \times \text{(number of dimes)} \)

Substituting the number of dimes (20) into the equation:

\( q = 2 \times 20 \)

Thus, the equation can be filled in as:

\[ q = 40 \]

So the completed statement would be:

\[ q = 40 \]